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Finding the Third Proportional to 1,949.06 and 3,059.02

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Solution

The third proportional to 1,949.06 and 3,059.02 is: 4,801.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949.06 : 3,059.02 = 3,059.02 : x
  2. Step 2: Convert to fraction form
    1,949.06/3,059.02 = 3,059.02/x
  3. Step 3: Cross multiply
    1,949.06x = 3,059.02 × 3,059.02
  4. Step 4: Simplify right side
    1,949.06x = 9,357,576.59
  5. Step 5: Solve for x
    x = 9,357,576.59/1,949.06
  6. Step 6: Final answer
    x = 4,801.07

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.